Evolution of spherical images and Smarandache curves of a space curve in Euclidean 3-space
Abstract
We study the evolution of a regular space curves, spherical images and Smarandache curves. We derive dynamical equation of moving frame along the evolving curve and its curvatures, consequently we get the evolution equation for spherical images and Smarandache curves. Finally we shall display visualization of the evolving curve, spherical images and Smarandache curves.
Copyright © 2017 Nassar H. Abdel-All, R. A. Hussien, Taha Youssef. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
N. H. Abdel-All, R. A. Hussien, T. Youssef, Evolution of spherical images and Smarandache curves of a space curve in Euclidean 3-space, J. Math. Comput. Sci. 7 (2017), 986–994.
BibTeX
@article{Abdel-All2017,
author = {Abdel-All, Nassar H. and Hussien, R. A. and Youssef, Taha},
title = {Evolution of spherical images and Smarandache curves of a space curve in Euclidean 3-space},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {986--994},
doi = {}
}